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<span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">{{Infobox physical quantity |</span> {{Infobox physical quantity |</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">name = Akselerasi |</span> name = acceleration |</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">image = [[Berkas:Gravity gravita grave.gif|100px]] |</span> image = [[File: Gravity gravita grave.gif | 100px]] |</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">caption = {{longitem|Dengan tidak adanya [[Gaya hambat|hambatan udara]], bola yang jatuh akan terus berakselerasi.}} |</span> caption = {{longitem | In the absence of [[drag] | air resistance]], the falling ball will continue to accelerate.}} |</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">symbols = '''a''' |</span> symbols = '' 'a' '' |</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">unit = [[Meter per detik kuadrat|m/s{{sup|2}}, m·s{{sup|-2}}, m&nbsp;s{{sup|-2}}]] |</span> units = [[Meters per second squared | m / s {{sup | 2}}, m · s {{sup | -2}}, m & nbsp; s {{sup | -2}}]] |</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">dimension = '''L''' '''T''' <sup>-2</sup> }} {{mekanika klasik|cTopic=dasar}} [[Berkas:Acceleration as derivative of velocity along trajectory.svg|jmpl|Percepatan adalah perubahan [[kecepatan]] per satuan [[waktu]]]] Dalam [[fisika]], '''percepatan''' atau '''akselerasi''' adalah perubahan [[kecepatan]] dalam satuan [[waktu]] tertentu.</span> dimension = '' 'L' '' '' 'T' '' <sup> -2 </sup>}} {{classical mechanics | cTopic = base}} [[File: Acceleration as derivative of velocity along trajectory.svg | jmpl | Acceleration is the change of [[speed]] per unit [[time]]]] In [[physics]], "acceleration" or "acceleration" is the change in speed in certain unit [[time]].</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">Akselerasi sebuah objek disebabkan karena gaya yang bekerja pada objek tersebut, seperti yang dijelaskan dalam [[Hukum kedua Newton]].<ref>{{cite book|title=The Principles of Mechanics|last=Crew|first=Henry|publisher=BiblioBazaar, LLC|year=2008|isbn=0-559-36871-2|pages=43}}</ref> Satuan [[Sistem Satuan Internasional|SI]] untuk akselerasi adalah [[meter per detik kuadrat|meter per sekon kuadrat]] {{nowrap|(m s<sup>−2</sup>).}} Percepatan adalah besaran [[vektor (spasial)|vektor]], sehingga percepatan memiliki [[Besaran (matematika)|besaran]] dan [[Arah (geometri)|arah]].<ref>{{cite book|title=Relativity and Common Sense|last=Bondi|first=Hermann|publisher=Courier Dover Publications|year=1980|isbn=0-486-24021-5|pages=3}}</ref><ref>{{cite book|title=Physics the Easy Way|last=Lehrman|first=Robert L.|publisher=Barron's Educational Series|year=1998|isbn=0-7641-0236-2|pages=27}}</ref> Sebagai [[Ruang vektor|vektor]], total [[Gaya (fisika)|gaya]] sama dengan hasil kali massa objek (besaran [[</span> The acceleration of an object is caused by the forces acting on the object, as explained in Newton's second law. <ref> {{cite book | title = The Principles of Mechanics | last = Crew | first = Henry | publisher = BiblioBazaar , LLC | year = 2008 | isbn = 0-559-36871-2 | pages = 43}} </ref> Unit [[International Unit System | SI]] for acceleration is [[meters per second squared | meters per second squared ]] {{nowrap | (ms <sup> −2 </sup>).}} Acceleration is the quantity [[vector (spatial) | vector]], so that acceleration has [[Magnitude (mathematics) | magnitude]] and [ [Direction (geometry) | direction]]. <ref> {{cite book | title = Relativity and Common Sense | last = Bondi | first = Hermann | publisher = Courier Dover Publications | year = 1980 | isbn = 0-486-24021 -5 | pages = 3}} </ref> <ref> {{cite book | title = Physics the Easy Way | last = Lehrman | first = Robert L. | publisher = Barron's Educational Series | year = 1998 | isbn = 0 -7641-0236-2 | pages = 27}} </ref> As [[vector space | vector]], the total [[force (physics) | force]] is equal to the product of the mass of the object (the quantity [[</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">skalar]]) dan percepatannya.</span> scalar]]) and its acceleration.</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">Umumnya, percepatan dilihat sebagai gerakan suatu objek yang semakin cepat ataupun lambat.</span> Generally, acceleration is seen as the movement of an object that is getting faster or slower.</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">Dengan kata lain, objek yang membelok (misalnya mobil yang sedang menikung)-pun memiliki percepatan juga.</span> In other words, a turning object (for example a car that is cornering) also has an acceleration.</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">== Definisi dan sifat-sifat == [[Berkas:Kinematics.svg|pra=https://en.wikipedia.org/wiki/File:Kinematics.svg|jmpl|300x300px|Besaran kinematis pada partikel klasik: massa ''m'', posisi '''r''', kecepatan '''v''', percepatan '''a'''.]] === Percepatan rata-rata === [[Berkas:Acceleration_as_derivative_of_velocity_along_trajectory.svg|pra=https://en.wikipedia.org/wiki/File:Acceleration_as_derivative_of_velocity_along_trajectory.svg|jmpl|Akselerasi adalah perubahan kecepatan.</span> == Definition and properties == [[File: Kinematics.svg | pra = https: //en.wikipedia.org/wiki/File: Kinematics.svg | jmpl | 300x300px | Kinematic magnitude in classical particles: mass '' m '', position '' 'r' '', speed '' '' v '' ', acceleration' '' a '' '.] === Average acceleration === [[File: Acceleration_as_derivative_of_velocity_along_trajectory.svg | pra = https: //en.wikipedia.org/wiki/File: Acceleration_as_derivative_of_velocity_along_trajectory.svg | jmpl | Acceleration is a change in speed.</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">Pada titik manapun pada lintasan, besaran percepatan sama dengan perubahan kecepatan pada besaran dan arah pada titik tersebut.</span> At any point on the track, the amount of acceleration is the same as the change in velocity on the magnitude and direction at that point.</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">Akselerasi sebenarnya pada waktu ''t'' adalah limit sebagai [[interval waktu]] ''Δt'' → 0 dari ''Δ'''''v'''/''Δt'']] Percepatan rata-rata suatu objek untuk tiap [[Waktu dalam fisika|waktu]] adalah perubahan [[kecepatan]] <math>( \Delta \mathbf{v})</math> dibagi waktu <math>( \Delta t)</math>.</span> Actual acceleration at the time of '' t '' is the limit as [[time interval]] '' Δt '' → 0 of '' Δ '' '' 'v' '' / '' Δt '']] Average acceleration an object for each [[time in physics | time]] is the change in [[speed]] <math> (\ Delta \ mathbf {v}) </math> divided by time <math> (\ Delta t) </math> .</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">Secara matematis, : <math>\mathbf{\bar{a}} = \frac{\Delta \mathbf{v}}{\Delta t}.</math> === Percepatan sesaat === [[File:1-D_kinematics.svg|pra=https://en.wikipedia.org/wiki/File:1-D_kinematics.svg|jmpl|'''Dari bawah ke atas''':{{bulleted list|</span> Mathematically,: <math> \ mathbf {\ bar {a}} = \ frac {\ Delta \ mathbf {v}} {\ Delta t}. </math> === Momentary acceleration === [[File: 1-D_kinematics.svg | pra = https: //en.wikipedia.org/wiki/File: 1-D_kinematics.svg | jmpl | '' 'From the ground up' '': {{bulleted list |</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">Fungsi akselerasi ''a''(''t'');</span> Acceleration function '' a '' ('' t '');</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">|</span> |</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">Integral dari akselerasi adalah fungsi kecepatan ''v''(''t'');</span> The integral of acceleration is the '' v '' ('' t '') speed function;</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">|</span> |</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">Integral dari kecepatan adalah fungsi posisi ''s''(''t'').</span> The integral of speed is the position function '' s '' ('' t '').</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">}}]] Percepatan sesaat, adalah [[Limit fungsi|limit]] dari percepatan rata-rata per interval waktu yang sangat kecil.</span> }}]] Instantaneous acceleration, is [[Function limit | limit]] of average acceleration per very small time interval.</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">Dalam [[Kalkulus|kalculus]], percepatan sesaat adalah [[turunan]] vektor kecepatan terhadap waktu: : <math>\mathbf{a} = \lim_{{\Delta t}\to 0} \frac{\Delta \mathbf{v}}{\Delta t} = \frac{d\mathbf{v}}{dt}</math> (Disini dan dimanapun, jika gerak berada dalam garis lurus, besaran [[Vektor euklidean|vektor]] dapat digantikan dengan [[skalar]] dalam persamaan.) Dapat dilihat bahwa [[integral]] fungsi akselerasi {{math|''a''(''t'')}} adalah fungsi kecepatan {{math|''v''(''t'')}} ;</span> In [[Calculus | kalculus]], the instantaneous acceleration is a [[derivative]] vector of velocity with time:: <math> \ mathbf {a} = \ lim _ {{\ \ t Delta \ to 0} \ frac {\ Delta \ mathbf {v}} {\ Delta t} = \ frac {d \ mathbf {v}} {dt} </math> (Here and wherever, if motion is in a straight line, the magnitude of [[Euclidean vector | vector]] can replaced by [[scalar]] in the equation.) It can be seen that the [[integral]] acceleration function {{math | '' a '' ('' t '')}} is a speed function of {{math | '' v ' '(' 't' ')}};</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">dimana luasan di bawah kurva akselerasi vs waktu ({{math|''a''}} vs. {{math|''t''}}) sama dengan kecepatan.</span> where the area under the acceleration vs. time curve ({{math | '' a ''}} vs. {{math | '' t ''}}) is the same as speed.</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">: <math>\mathbf{v} = \int \mathbf{a} \ dt</math> Karena akselerasi didefinisikan sebagai turunan kecepatan {{math|'''v'''}} terhadap waktu {{math|''t''}} dan kecepatan didefinisikan sebagai turunan posisi {{math|'''x'''}} terhadap waktu, maka akselerasi adalah [[turunan kedua]] dari {{math|'''x'''}} terhadap {{math|''t''}}: <math>\mathbf{a} = \frac{d\mathbf{v}}{dt} = \frac{d^2\mathbf{x}}{dt^2}</math> : Dalam [[mekanika klasik]], percepatan suatu objek [[massa|bermassa]] tetap berbanding lurus dengan [[gaya (fisika)|resultan gaya]] yang bekerja padanya dan berbanding terbalik dengan massanya.</span> : <math> \ mathbf {v} = \ int \ mathbf {a} \ dt </math> Because acceleration is defined as the velocity derivative of {{math | '' 'v' ''}} over time {{math | '' t ''}} and speed is defined as the position of {{math | '' 'x' ''}} 's position with respect to time, so acceleration is [[second derivative]] of {{math |' '' x '' '}} against {{math | '' t ''}}: <math> \ mathbf {a} = \ frac {d \ mathbf {v}} {dt} = \ frac {d ^ 2 \ mathbf {x}} {dt ^ 2} </math>: In [[classical mechanics]], the acceleration of an object [[mass | mass]] remains directly proportional to the force [[physics] | resultant force]] acting on it and inversely proportional to its mass.</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left"><math>\mathbf{F} = m\mathbf{a} \quad \to \quad \mathbf{a} = \mathbf{F}/m</math> dengan '''F''' adalah gaya yang bekerja pada objek, ''m'' adalah [[massa]] objek, dan '''a''' adalah percepatan pusat massa benda.</span> <math> \ mathbf {F} = m \ mathbf {a} \ quad \ to \ quad \ mathbf {a} = \ mathbf {F} / m </math> where '' 'F' '' is a force that works on objects, '' m '' is [[mass]] objects, and '' 'a' '' is the acceleration of the center of mass of objects.</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">Ketika kecepatan semakin mendekati [[kecepatan cahaya]], [[Relativitas khusus|efek relativistik]] menjadi semakin besar.</span> As the speed approaches [[the speed of light]], [[Special relativity | relativistic effect]] becomes even greater.</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">Percepatan bisa bernilai positif dan negatif.</span> Acceleration can be both positive and negative.</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">Bila nilai percepatan positif, hal ini menunjukkan bahwa kecepatan benda yang mengalami percepatan positif ini bertambah (dipercepat).</span> If the value of acceleration is positive, this shows that the speed of the object that is experiencing this positive acceleration increases (accelerated).</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">Sebaliknya bila negatif, hal ini menunjukkan bahwa kecepatan benda menurun (diperlambat).</span> Conversely, if negative, this indicates that the speed of the object is decreasing (slowed).</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">Contoh percepatan positif adalah: jatuhnya buah dari pohonnya yang dipengaruhi oleh [[gravitasi]].</span> Examples of positive acceleration are: the fall of the fruit of the tree which is affected by [[gravity]].</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">Sedangkan contoh percepatan negatif adalah: proses pengereman mobil.</span> While examples of negative acceleration are: the process of braking a car.</span> <span class="notranslate" onmouseover="_tipon(this)" onmouseout="_tipoff()"><span class="google-src-text" style="direction: ltr; text-align: left">== Referensi == {{reflist}} {{Portal|Fisika}} {{Kinematika}} {{fisika-stub}} [[Kategori:Fisika]] [[Kategori:Persamaan diferensial]] [[Kategori:Persamaan matematika]] [[Kategori:Persamaan mekanika klasik]] [[Kategori:Persamaan fisika]] [[Kategori:Persamaan]] [[Kategori:Besaran fisika]]</span> == Reference == {{reflist}} {{Portal | Physics}} {{Kinematics}} {{physics-stub}} [[Category: Physics]] [[Category: Differential Equations]] [[Category: Mathematical Equations] ]] [[Category: Equations of classical mechanics]] [[Category: Equations of physics]] [[Category: Equations]] [[Category: Magnitude of physics]]</span>
{{Infobox physical quantity
| name = Akselerasi
| image = [[Berkas:Gravity gravita grave.gif|100px]]
| caption = {{longitem|Dengan tidak adanya [[Gaya hambat|hambatan udara]], bola yang jatuh akan terus berakselerasi.}}
| symbols = '''a'''
| unit = [[Meter per detik kuadrat|m/s{{sup|2}}, m·s{{sup|-2}}, m&nbsp;s{{sup|-2}}]]
| dimension = '''L''' '''T''' <sup>-2</sup>
}}
{{mekanika klasik|cTopic=dasar}}
[[Berkas:Acceleration as derivative of velocity along trajectory.svg|jmpl|Percepatan adalah perubahan [[kecepatan]] per satuan [[waktu]]]]
 
Dalam [[fisika]], '''percepatan''' atau '''akselerasi''' adalah perubahan [[kecepatan]] dalam satuan [[waktu]] tertentu. Akselerasi sebuah objek disebabkan karena gaya yang bekerja pada objek tersebut, seperti yang dijelaskan dalam [[Hukum kedua Newton]].<ref>{{cite book|title=The Principles of Mechanics|last=Crew|first=Henry|publisher=BiblioBazaar, LLC|year=2008|isbn=0-559-36871-2|pages=43}}</ref> Satuan [[Sistem Satuan Internasional|SI]] untuk akselerasi adalah [[meter per detik kuadrat|meter per sekon kuadrat]] {{nowrap|(m s<sup>−2</sup>).}} Percepatan adalah besaran [[vektor (spasial)|vektor]], sehingga percepatan memiliki [[Besaran (matematika)|besaran]] dan [[Arah (geometri)|arah]].<ref>{{cite book|title=Relativity and Common Sense|last=Bondi|first=Hermann|publisher=Courier Dover Publications|year=1980|isbn=0-486-24021-5|pages=3}}</ref><ref>{{cite book|title=Physics the Easy Way|last=Lehrman|first=Robert L.|publisher=Barron's Educational Series|year=1998|isbn=0-7641-0236-2|pages=27}}</ref> Sebagai [[Ruang vektor|vektor]], total [[Gaya (fisika)|gaya]] sama dengan hasil kali massa objek (besaran [[skalar]]) dan percepatannya. Umumnya, percepatan dilihat sebagai gerakan suatu objek yang semakin cepat ataupun lambat. Dengan kata lain, objek yang membelok (misalnya mobil yang sedang menikung)-pun memiliki percepatan juga.
 
== Definisi dan sifat-sifat ==
[[Berkas:Kinematics.svg|pra=https://en.wikipedia.org/wiki/File:Kinematics.svg|jmpl|300x300px|Besaran kinematis pada partikel klasik: massa ''m'', posisi '''r''', kecepatan '''v''', percepatan '''a'''.]]
 
=== Percepatan rata-rata ===
[[Berkas:Acceleration_as_derivative_of_velocity_along_trajectory.svg|pra=https://en.wikipedia.org/wiki/File:Acceleration_as_derivative_of_velocity_along_trajectory.svg|jmpl|Akselerasi adalah perubahan kecepatan. Pada titik manapun pada lintasan, besaran percepatan sama dengan perubahan kecepatan pada besaran dan arah pada titik tersebut. Akselerasi sebenarnya pada waktu ''t'' adalah limit sebagai [[interval waktu]] ''Δt'' → 0 dari ''Δ'''''v'''/''Δt'']]
Percepatan rata-rata suatu objek untuk tiap [[Waktu dalam fisika|waktu]] adalah perubahan [[kecepatan]] <math>( \Delta \mathbf{v})</math> dibagi j
 
== Referensi ==
{{reflist}}
{{Portal|Fisika}}
{{Kinematika}}
{{fisika-stub}}
 
[[Kategori:Fisika]]
[[Kategori:Persamaan diferensial]]
[[Kategori:Persamaan matematika]]
[[Kategori:Persamaan mekanika klasik]]
[[Kategori:Persamaan fisika]]
[[Kategori:Persamaan]]
[[Kategori:Besaran fisika]]